Abstract Aims. We aim to demonstrate the efficiency of a Bayesian approach in
analysing radial velocity data by reanalysing a set of radial velocity measurements.Methods. We present Bayesian analysis of a recently published set of radial
velocity measurements known to contain the signal of one extrasolar
planetary candidate, namely, HD 11506. The analysis is conducted using
the Markov chain Monte Carlo method and the resulting distributions of
orbital parameters are tested by performing direct integration of
randomly selected samples with the Bulirsch-Stoer method. The
magnitude of the stellar radial velocity variability, known as jitter,
is treated as a free parameter with no assumptions about its magnitude.Results. We show that the orbital parameters of the planet known to be present
in the data correspond to a different solution when the jitter is
allowed to be a free parameter. We also show evidence of an additional
candidate, a 0.8
planet with period of about 0.5 yr in orbit
around HD 11506. This second planet is inferred to be present with a
high level of confidence.

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